Relativistic cosmological large scale structures at one-loop

Castiblanco, Lina; Gannouji, Radouane; Noreña, Jorge; Stahl, Clément

doi:10.1088/1475-7516/2019/07/030

Cited by 32 publications

(60 citation statements)

References 102 publications

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“…These become important when probing the largest scales of the galaxy power spectrum, where the imprint of sizable primordial bispectra in the squeezed configuration is strongest. Several analyses have computed these corrections [234,282,[353][354][355][356][357][358][359][360] and the importance of these relativistic corrections has been quantified for forthcoming surveys [361][362][363].…”

Section: Observational Prospectsmentioning

confidence: 99%

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

Biagetti

2019

Galaxies

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The understanding of the primordial mechanism that seeded the cosmic structures we observe today in the sky is one of the major goals in cosmology. The leading paradigm for such a mechanism is provided by the inflationary scenario, a period of violent accelerated expansion in the very early stages of evolution of the universe. While our current knowledge of the physics of inflation is limited to phenomenological models which fit observations, an exquisite understanding of the particle content and interactions taking place during inflation would provide breakthroughs in our understanding of fundamental physics at high energies. In this review, we summarize recent theoretical progress in the modeling of the imprint of primordial interactions in the large-scale structures of the universe. We focus specifically on the effects of such interactions on the statistical distribution of dark-matter halos, providing a consistent treatment of the steps required to connect the correlations generated among fields during inflation all the way to the late-time correlations of halos.

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Section: Observational Prospectsmentioning

confidence: 99%

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

Biagetti

2019

Galaxies

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“…Let us point out that we will consider the Newtonian kernels [30,31] in the rest of the paper, which is in line with neglecting terms of higher order in H/k, see [32]. Our results can be generalized to an arbitrary (separable) non-linear velocity kernel G 2 (k 1 , k 2 ), including the full higher order GR dynamics [32][33][34][35].…”

Section: Rsd Hmentioning

confidence: 57%

The full-sky angular bispectrum in redshift space

Dio

Durrer

Maartens

et al. 2019

J. Cosmol. Astropart. Phys.

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We compute the redshift-dependent angular bispectrum of galaxy number counts at tree-level, including nonlinear clustering bias and estimating numerically for the first time the effect of redshift space distortions (RSD). We show that for narrow redshift bins the amplitude of nonlinear RSD is comparable with the matter density perturbations. While our numerical results only include terms relevant on sub-horizon scales, the formalism can readily be extended to the full tree-level bispectrum. Our approach does not rely on the flat-sky approximation and it can be easily generalized to different sources by including the appropriate bias expansion. We test the accuracy of Limber approximation for different z-bins. We highlight the subtle but relevant differences in the angular bispectrum of galaxy number counts with respect to CMB, due to the different scale dependence of perturbations. Our formalism can also be directly applied to the angular HI intensity mapping bispectrum. 1

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“…More generally, the extension of the techniques described in this paper to include mixedorder quantities like δ (1,1) and post-Newtonian quantities like δ (0,4) is conceivable, as is modifying the NPT sector to incorporate the renormalised perturbation theory of Crocce and Scoccimaro [50] or the EFTofLSS [10]. Comparison to analytic weak-field results like those in [25] and to simulations like gevolution [51] may yield insight into both the nature of twoparameter perturbation theory, but also to weak-field general relativity, a scheme close in spirit to that of two-parameter perturbation theory. In particular, it may be necessary to renormalize the background quantities as is done in Ref.…”

Section: Discussionmentioning

confidence: 92%

“…where φ (2) 0 can be obtained from ψ (2) 0 using the constraint from Equation (5. 25), and Ψ 0 is the quantity defined in Eq. (4.20) .…”

Section: Evolution Of Gravitational Potentials In 2pptmentioning

confidence: 99%

Multi-scale perturbation theory. Part I. Methodology and leading-order bispectrum corrections in the matter-dominated era

Gallagher

Clifton

Clarkson

2020

J. Cosmol. Astropart. Phys.

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Two-parameter perturbation theory is a scheme tailor-made to consistently include nonlinear density contrasts on small scales (< 100 Mpc), whilst retaining a traditional approach to cosmological perturbations in the long-wavelength universe. In this paper we study the solutions that arise from this theory in a spatially-flat dust-filled cosmology, and what these imply for the bispectrum of matter. This is achieved by using Newtonian perturbation theory to model the gravitational fields of nonlinear structures in the quasi-linear regime, and then using the resulting solutions as source terms for the cosmological equations. We find that our approach results in the leading-order part of the cosmological gravitational potentials being identical to those that result from standard cosmological perturbation theory at second-order, while the dark matter bispectrum itself yields some differences on Hubble scales. This demonstrates that our approach is sufficient to capture most leading-order relativistic effects, but within a framework that is far easier to generalize. We expect this latter property to be particularly useful for calculating leading-order relativistic corrections to the matter power spectrum, as well as for deriving predictions for relativistic effects in alternative theories of gravity.

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Relativistic cosmological large scale structures at one-loop

Cited by 32 publications

References 102 publications

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

The Hunt for Primordial Interactions in the Large-Scale Structures of the Universe

The full-sky angular bispectrum in redshift space

Multi-scale perturbation theory. Part I. Methodology and leading-order bispectrum corrections in the matter-dominated era

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